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Finding the Fourth Proportional to 3,665.73, 5,498.59 and 892.40

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Solution

The fourth proportional to 3,665.73, 5,498.59 and 892.40 is: 1,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.73 : 5,498.59 = 892.40 : x
  2. Step 2: Convert to fraction form
    3,665.73/5,498.59 = 892.40/x
  3. Step 3: Cross multiply
    3,665.73x = 5,498.59 × 892.40
  4. Step 4: Simplify right side
    3,665.73x = 4,906,941.72
  5. Step 5: Solve for x
    x = 4,906,941.72/3,665.73
  6. Step 6: Final answer
    x = 1,338.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.